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Finding the Third Proportional to 21,340 and 30,030

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Solution

The third proportional to 21,340 and 30,030 is: 42,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340 : 30,030 = 30,030 : x
  2. Step 2: Convert to fraction form
    21,340/30,030 = 30,030/x
  3. Step 3: Cross multiply
    21,340x = 30,030 × 30,030
  4. Step 4: Simplify right side
    21,340x = 901,800,900
  5. Step 5: Solve for x
    x = 901,800,900/21,340
  6. Step 6: Final answer
    x = 42,258.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.